Title :
A generalized matrix eigensystem approach to the inverse problem of electrocardiography
Author :
Throne, Robert D. ; Olson, Lorraine G.
Author_Institution :
Dept. of Electr. Eng., Nebraska Univ., Lincoln, NE, USA
Abstract :
The authors present a new approach to the ill-conditioned inverse problem of electrocardiography which employs finite element techniques to generate a truncated eigenvector expansion which stabilizes the inversion. The body surface potentials are expanded in terms of the eigenvectors, and a least squares fit to the measured body surface potentials is used to determine the coefficients of the expansion. This expansion is then used directly to determine the potentials on the surface of the heart
Keywords :
eigenvalues and eigenfunctions; electrocardiography; finite element analysis; inverse problems; matrix algebra; electrocardiographic inverse problem; expansion coefficients; finite element techniques; generalized matrix eigensystem approach; heart surface potentials determination; ill-conditioned inverse problem; inversion stabilization; least squares fit; measured body surface potentials; truncated eigenvector expansion; Eigenvalues and eigenfunctions; Electrocardiography; Equations; Finite element methods; Heart; Inverse problems; Matrix decomposition; Singular value decomposition; Surface fitting; Thermal conductivity;
Conference_Titel :
Computers in Cardiology 1993, Proceedings.
Conference_Location :
London
Print_ISBN :
0-8186-5470-8
DOI :
10.1109/CIC.1993.378444
